一种多粒度语言评价模糊群决策方法

Fuzzy Group Decision-Making Based on Multigranular Linguistic Preference

针对多粒度语言评价群决策问题进行研究,提出了基于多粒度语言评价群决策问题的数学模型。利用基于语义的模糊化函数将不同粒度的语言评价映射为同一区间上的三角模糊数,通过模糊语义距离引入了专家评价与群决策模糊评价的一致度,从而得到基于一致度的专家动态权重,实现了专家初始权重与动态权重的灵活均衡使用。最后通过一个应用实例说明了该方法的合理性和有效性。

This paper studies the group decision-making problem based on the muhi-granular linguistic preference with a mathematical model proposed. With a semantic fuzzy function defined, linguistic preference terms with different granularity are translated into triangular fuzzy numbers in the same interval. Consensus degree based on fuzzy distance between each expert＇s fuzzy preference and group fuzzy preference is introduced to produce the expert＇s dynamic weight, and the syntactic weight which combines initial weight and dynamic weight is used to generate final group fuzzy preference. An example is given to show the reasonableness and effectiveness of this method.